Analysis and dynamical structure of glucose insulin glucagon system with Mittage-Leffler kernel for type I diabetes mellitus.
Boundedness
GIG system
Lyapunov Stability
Mittage-Leffler Kernel
Uniqueness
Journal
Scientific reports
ISSN: 2045-2322
Titre abrégé: Sci Rep
Pays: England
ID NLM: 101563288
Informations de publication
Date de publication:
05 Apr 2024
05 Apr 2024
Historique:
received:
17
07
2023
accepted:
26
03
2024
medline:
6
4
2024
pubmed:
6
4
2024
entrez:
5
4
2024
Statut:
epublish
Résumé
In this paper, we propose a fractional-order mathematical model to explain the role of glucagon in maintaining the glucose level in the human body by using a generalised form of a fractal fractional operator. The existence, boundedness, and positivity of the results are constructed by fixed point theory and the Lipschitz condition for the biological feasibility of the system. Also, global stability analysis with Lyapunov's first derivative functions is treated. Numerical simulations for fractional-order systems are derived with the help of Lagrange interpolation under the Mittage-Leffler kernel. Results are derived for normal and type 1 diabetes at different initial conditions, which support the theoretical observations. These results play an important role in the glucose-insulin-glucagon system in the sense of a closed-loop design, which is helpful for the development of artificial pancreas to control diabetes in society.
Identifiants
pubmed: 38580678
doi: 10.1038/s41598-024-58132-5
pii: 10.1038/s41598-024-58132-5
doi:
Types de publication
Journal Article
Langues
eng
Sous-ensembles de citation
IM
Pagination
8058Subventions
Organisme : Prince Sattam Bin Abdulaziz University
ID : RSP2023R167
Informations de copyright
© 2024. The Author(s).
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